允许揉搓序列在乘积度量下的维数和测度  

Dimension and Measure of Admissible Kneading Sequences with Product Metric

作　　者：张爱华[1,2] 陈二才[1] 

机构地区：[1]南京师范大学数学与计算机科学学院,南京210097 [2]南京邮电大学理学院,南京210046

出　　处：《数学学报（中文版）》2009年第6期1207-1210,共4页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10571086)

摘　　要：利用Hausdorff维数和Hausdorff测度,对单峰映射的允许揉搓序列的集合给出定量的刻画,证明了该集合在乘积度量下的符号空间∑_2中的Hausdorff维数为s,s维Hausdorff测度为零.这与传统的定性分析相比,结果更有意义.Using the tools of Hausdorff dimension and Hausdorff measure,we give quantitative version for the set of admission kneading sequences with product metric. It is proved for the set that the Hausdorff dimension is s and the s-dimension Hausdorff measure is zero in∑_2,which are more profound than those obtained by traditional qualitative analysis.

关 键 词：单峰映射 允许揉搓序列 Hausdorff维数和Hausdorff测度 

分 类 号：O189.1[理学—数学]